​Observe the next worked examples:

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1) x² + x² + 4x² = ​(1+1+4)x² = 6x²

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2) 3x⁴​ + 5x⁴ = (3+5)x⁴ = 8x⁴

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3) 3x² + 2x³ + 7x² = (3+7)x² +2x³ = 10x² + 2x³​

​1) x² + x² + 4x² = ​6x²​

2) 3x⁴​ + 5x⁴ = 8x⁴​

3) 3x² + 2x³ + 7x² = 10x² + 2x³​

​

General Rule:​

​bx^m + cx^m = (b + c)x^m

If base and exponents are the same then add the coefficients.​

​Observe the next worked examples:

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1) x² ×​ x³ = x⁽²⁺³⁾ = x⁵

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2) 5x² ×​ 2x³ = (5 • 2)x⁽²⁺³⁾ = 10x⁵

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3) 2x⁴ × 5x ×​ x = (2 • 5 • 1)x^(4+1+1) = 10x⁶

End of Assignment